Identification of a Nonlinear Cell Cycle System with Linear Models
2005 (English)Report (Other academic)
A mathematical model by Chen et al. representing the cell cycle of the budding yeast cell (Saccharomyces cerevisiae) is used to simulate levels of 13 diﬀerent cell biological variables. By using a linear systems approach on the generated data the goal is to identify the original equations of the mathematical model. Since this model is described by a nonlinear system the linear systems approach only gives correct estimations of the linear parts of the system, with one exception. A main issue thus becomes to identify which data that belongs to the linear equations and which does not. This problem is solved using two local linear models on diﬀerent time intervals. Parameter estimations of coeﬃcients from linear and time invariant equations should be the same over all time intervals.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2005.
LiTH-ISY-R, ISSN 1400-3902 ; 2690
Systems biology, Cell cycle, Budding yeast, Auto regression model
IdentifiersURN: urn:nbn:se:liu:diva-55815OAI: oai:DiVA.org:liu-55815DiVA: diva2:316516